Multi-Step Equations
Multi-Step Equations w/ Variables on Both Sides
Word Problems
Solve for a variable
Proportions
100

Solving Equations

4x + 3 = 7

What is: 

x = 1

100

Solving Equations

6(6n - 2) = 8n - 40

What is:

n = -1

100

Ten workers are hired to weed a field by

hand.  Each is given a plot which is 9×10

feet in size.  What is the total area of the

field?

What is:

900


100

Solve for y.

3x + 2y = 2 

What is:

y = (-3/2)x + 1

100

Solving Proportions

2/x=8/9

What is: x=2.25

200

Solving Equations

4(6 + 5x) = 124

What is: 

x = 5

200

Solving Equations

-4(-8p + 1) = -4 - 8p

What is:

p = 0

200

Ted had some candy to give to his three

children.  He first took seven pieces for

himself and then evenly divided the rest

among his children.  Each child received

five pieces.  With how many pieces did he

start?

What is:

22

200

Solve for x.

2x + 10y = -8

What is:

x = -5y - 4

200

 Solving Proportions

(x+1)/5=3/5

What is:

x=2

300

Solving Equations

-108 = -8(x + 6) - 4

What is: 

x = 7

300

Solving Equations

6a - 7(2a + 4) = -33 - 8a

What is:

False statement, no solution

300

Heather had some candy to give to her

four children.  She first took eight pieces

for herself and then evenly divided the rest

among her children.  Each child received

five pieces.  With how many pieces did

she start?

What is:

28

300

Solve for y.

7x - 5y = -25

What is:

y = (7/5)x + 5

300

Solving Proportions

(x-3)/7=(x+1)/8

What is:

x =31

400

Solving Equations.

254 = -2v - 6(2 +6v)

What is:

v = -7

400

Solving Equations

-5(8n - 4) - n = - 16 - 5n

What is:

n = 1

400

Bill reduced the size of a photo to a height

of 5.2 cm.  What is the new width if it was

originally 41.6 cm tall and 11.2 cm wide?

What is:

1.4 cm

400

Solve for x.

u = x/k + y

What is:

x = (u - y)*k

400

Solving Proportions

(5x+10)/x = 10/11

What is:

x= -2.444...

500

Solving Equations

-93 = 7(-3k - 8) + 5

What is:

k = 2

500

Solving Equations

-15 - 5x = 5(-x - 3)

What is:

True statement, infinite solutions

500

A statue that is 7.3 m tall casts a shadow

that is 35 m long.  Find the height of a

lighthouse that casts a 45.6 m shadow.

What is:

9.5 m


500

Solve for w.

(3 - w)/z = p

What is:

w = - pz + 3

500

Solving Proportions

(x^2- 2)/2=(x^2+1)/3

What is:

x=sqrt8

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